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Simplifying 3v + -24 = -5(v + 8) Reorder the terms: -24 + 3v = -5(v + 8) Reorder the terms: -24 + 3v = -5(8 + v) -24 + 3v = (8 * -5 + v * -5) -24 + 3v = (-40 + -5v) Solving -24 + 3v = -40 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -24 + 3v + 5v = -40 + -5v + 5v Combine like terms: 3v + 5v = 8v -24 + 8v = -40 + -5v + 5v Combine like terms: -5v + 5v = 0 -24 + 8v = -40 + 0 -24 + 8v = -40 Add '24' to each side of the equation. -24 + 24 + 8v = -40 + 24 Combine like terms: -24 + 24 = 0 0 + 8v = -40 + 24 8v = -40 + 24 Combine like terms: -40 + 24 = -16 8v = -16 Divide each side by '8'. v = -2 Simplifying v = -2
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